Name:________________________________________________ Period: _____

Chapter 8 Review

1. Write an example of a non-linear equation. _______________ 2. Write an example of a linear equation. _____________ 3. Write the equation of the line (graphed on the right) in slope-intercept

form. ____________________ 4. Write the equation of the line (graphed on the right) in slope-intercept

form. ____________________ 5. Solve for the slope of the line that passes through (1, 2) and (2,4). ____________________ 6. Solve for the slope of the line that passes through (3, 0) and (3, 4). ____________________ 7. Solve for the x-intercept and y-intercept of the line shown by the equation

−3x + y = 6? x-intercept: _________ y-intercept: _________

8. Solve for the x-intercept and y-intercept of the line shown by the equation

−4x + 2y = 8? x-intercept: _________ y-intercept: _________

9. What is an equation in slope-intercept form of the line passing through the point (2, 1)

and having slope of 4? ____________________ 10. What is the slope-intercept form of the line passing through the point (3, 2) and having slope of 4? ____________________ 11. What is the point-slope form equation for the line with a slope of 5 that passes

through (2, 0)? _________________________ 12. What is the point-slope form equation for the line with a slope of 2 that passes through (-5, 3)? _________________________ 13. Does the table show a data set that varies

directly?

___________ 14. Does the table show a data set that varies

directly? ___________ 15. Write the direct variation equation if y = 8 when x = 2. __________

x 14 15 17 18 19 y 10 13 16 19 22

x 15 15 17 18 18 y 12 13 16 19 20

16. Write the direct variation equation if y = 14 when x = -7. ____________ Tell whether the slope of the line is positive, negative, zero, or undefined. 17. 18. __________________ __________________ 19. 20. __________________ __________________ 21. 22. __________________ __________________ Identify the slope and y-intercept of the line with the given equations, but first re-write each equation in slope-intercept form. 23. y = 4x – 5 24. 2x + 8y = 16 25. –9x – 3y = 12 Slope: ________ Slope: ________ Slope: ________ y-intercept: ________ y-intercept: ________ y-intercept: ________

Graph the equation after putting the equations into slope-intercept form. 26. 3x – y = 5 27. 3y – 2x = –3 28. x = 2